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Transcript

Dickson County Schools 7th Grade ACCELERATED Math Pacing Guide Ready TNCore 3rd Nine Weeks 2015-2016 Practice Window 2: January 4 – February 6 for Part I and Part II TNReady Assessment Part I Window: February 8 – March 4 Unit 4: Geometry Lesson #: Topic TN Standards Tasks/Additional Resources 8th grade standards to be addressed within the next 2 Lessons: TNReady 8.G.A.1abc Verify experimentally the properties of rotations, reflections, and translations: a. Lines are taken to lines, and line segments to line segments of the same length. b. Angles are taken to angles of the same measure. c. Parallel lines are taken to parallel lines. 8.G.A.2 Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. 8.G.A.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. 8.G.A.4 Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two dimensional figures, describe a sequence that exhibits the similarity between them. 8.G.A.5 Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so. **These standards are within Lessons 18-22 of the 8th grade book. Teach components of these lessons as they directly align to 7 th grade standards. Pick up the remaining components after TNReady Part 2. (These standards are CRITICAL for students to be successful in Geometry!!!!!) 7.G.B.5 Lesson 18: Problem Solving with Angles Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. Part II MP2, MP3, MP4, MP5, MP6, MP7 Additional Standards Integrated in this Lesson: 7.EE.B.4a Standards for Mathematical Practice: 1. Make sense of problems & persevere in solving them. 2. Reason abstractly & quantitatively. 3. Construct viable arguments & critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Dickson County Schools 7th Grade ACCELERATED Math Pacing Guide Ready TNCore 3rd Nine Weeks 2015-2016 7.G.A.2 Lesson 19: Understand Conditions for Drawing Triangles Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. Part II MP1, MP2, MP4, MP5, MP6 7.G.B.6 Lesson 20: Area of Composed Figures Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Part II MP1, MP2, MP3, MP4, MP5, MP6, MP7, MP8 7.G.B.4 Lesson 21: Area and Circumference of a Circle Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. Part II MP1, MP2, MP3, MP4, MP5, MP6, MP7, MP8 7.G.A.1 Lesson 22: Scale Drawings (continued on next page) Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. 7.RP.A.1 Part II Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour. Standards for Mathematical Practice: 1. Make sense of problems & persevere in solving them. 2. Reason abstractly & quantitatively. 3. Construct viable arguments & critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. 7th Grade ACCELERATED Math Pacing Guide Ready TNCore 3rd Nine Weeks Dickson County Schools 2015-2016 MP1, MP2, MP3, MP4, MP5, MP6, MP7, MP8 8th grade standard to be addressed within the next Lesson: 8.G.C.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. **This standard is within Lesson 27 of the 8th grade book. Teach components of this lesson as it directly aligns to 7 th grade standards. Pick up the remaining components after TNReady Part 2. (These standards are CRITICAL for students to be successful in Geometry!!!!!) 7.G.B.6 Solve real-world and mathematical problems involving area, volume Lesson 23: and surface area of two- and three-dimensional objects composed of Volume of Solids triangles, quadrilaterals, polygons, cubes, and right prisms. Part II MP1, MP2, MP3, MP4, MP5, MP6, MP7, MP8 7.G.B.6 Lesson 24: Surface Area of Solids Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Part II MP1, MP2, MP3, MP4, MP5, MP6, MP7, MP8 Lesson 24: Understand Plane Sections of Prisms and Pyramids 7.G.A.3 Describe the two-dimensional figures that result from slicing three dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids. Part II MP2, MP4, MP5, MP7 Unit 4 Interim Assessment Standards for Mathematical Practice: 1. Make sense of problems & persevere in solving them. 2. Reason abstractly & quantitatively. 3. Construct viable arguments & critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.